Topics in Mathematical Biology

Nonfiction, Science & Nature, Mathematics, Applied, Science
Cover of the book Topics in Mathematical Biology by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Karl Peter Hadeler, Michael C. Mackey, Angela Stevens ISBN: 9783319656212
Publisher: Springer International Publishing Publication: December 20, 2017
Imprint: Springer Language: English
Author: Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
ISBN: 9783319656212
Publisher: Springer International Publishing
Publication: December 20, 2017
Imprint: Springer
Language: English

This book analyzes the impact of quiescent phases on biological models. Quiescence arises, for example, when moving individuals stop moving, hunting predators take a rest, infected individuals are isolated, or cells enter the quiescent compartment of the cell cycle. In the first chapter of Topics in Mathematical Biology general principles about coupled and quiescent systems are derived, including results on shrinking periodic orbits and stabilization of oscillations via quiescence. In subsequent chapters classical biological models are presented in detail and challenged by the introduction of quiescence. These models include delay equations, demographic models, age structured models, Lotka-Volterra systems, replicator systems, genetic models, game theory, Nash equilibria, evolutionary stable strategies, ecological models, epidemiological models, random walks and reaction-diffusion models. In each case we find new and interesting results such as stability of fixed points and/or periodic orbits, excitability of steady states, epidemic outbreaks, survival of the fittest, and speeds of invading fronts. 

The textbook is intended for graduate students and researchers in mathematical biology who have a solid background in linear algebra, differential equations and dynamical systems. Readers can find gems of unexpected beauty within these pages, and those who knew K.P. (as he was often called) well will likely feel his presence and hear him speaking to them as they read.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book analyzes the impact of quiescent phases on biological models. Quiescence arises, for example, when moving individuals stop moving, hunting predators take a rest, infected individuals are isolated, or cells enter the quiescent compartment of the cell cycle. In the first chapter of Topics in Mathematical Biology general principles about coupled and quiescent systems are derived, including results on shrinking periodic orbits and stabilization of oscillations via quiescence. In subsequent chapters classical biological models are presented in detail and challenged by the introduction of quiescence. These models include delay equations, demographic models, age structured models, Lotka-Volterra systems, replicator systems, genetic models, game theory, Nash equilibria, evolutionary stable strategies, ecological models, epidemiological models, random walks and reaction-diffusion models. In each case we find new and interesting results such as stability of fixed points and/or periodic orbits, excitability of steady states, epidemic outbreaks, survival of the fittest, and speeds of invading fronts. 

The textbook is intended for graduate students and researchers in mathematical biology who have a solid background in linear algebra, differential equations and dynamical systems. Readers can find gems of unexpected beauty within these pages, and those who knew K.P. (as he was often called) well will likely feel his presence and hear him speaking to them as they read.

More books from Springer International Publishing

Cover of the book Universal Access in Human–Computer Interaction. Human and Technological Environments by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book Advances in Intelligent Systems and Computing II by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book Mathematics Education and Language Diversity by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book Innovation, Governance and Entrepreneurship: How Do They Evolve in Middle Income Countries? by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book High Performance Computing Systems. Performance Modeling, Benchmarking, and Simulation by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book Genetic Diversity and Erosion in Plants by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book Advances in Human Factors in Simulation and Modeling by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book Global Pathways to Water Sustainability by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book Towards the Future of Fuzzy Logic by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book We Only Talk Feminist Here by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book How Does Government Listen to Scientists? by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book Digital Dilemmas by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book Iranian Entrepreneurship by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book Machine Translation with Minimal Reliance on Parallel Resources by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
Cover of the book Self-organized Criticality and Predictability in Atmospheric Flows by Karl Peter Hadeler, Michael C. Mackey, Angela Stevens
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy